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Finding the Third Proportional to 465.50 and 1,192.25

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Solution

The third proportional to 465.50 and 1,192.25 is: 3,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 1,192.25 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    465.50/1,192.25 = 1,192.25/x
  3. Step 3: Cross multiply
    465.50x = 1,192.25 × 1,192.25
  4. Step 4: Simplify right side
    465.50x = 1,421,460.06
  5. Step 5: Solve for x
    x = 1,421,460.06/465.50
  6. Step 6: Final answer
    x = 3,053.62

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.